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Using diagrammatic methods, we show how the Ward identity can be used to constrain the ladder kernel in transport coefficient calculations. More specifically, we use the Ward identity to determine the necessary diagrams that must be…

High Energy Physics - Phenomenology · Physics 2014-11-18 J. -S. Gagnon , S. Jeon

We derive an Abelian-like Ward identity in color superconducting phase and calculate vertex corrections to the color superconducting gap. Making use of the Ward identity, we show that subleading order contributions to the gap from vertices…

High Energy Physics - Phenomenology · Physics 2015-05-13 Hao-jie Xu , Qun Wang

Previous analyses of asymptotic symmetries in QED have shown that the subleading soft photon theorem implies a Ward identity corresponding to a charge generating divergent large gauge transformations on the asymptotic states at null…

High Energy Physics - Theory · Physics 2023-04-28 Temple He , Prahar Mitra

We consider the role of the Ward identity in dealing with the transport properties of an interacting system forming a d-wave modulated charge-density wave or staggered flux phase. In particular, we address this issue from the point of view…

Superconductivity · Physics 2009-11-10 L. Benfatto , S. Sharapov , N. Andrenacci , H. Beck

The Ward identities for the charge and heat currents are derived for particle-particle and particle-hole pairs. They are the exact constraints on the current-vertex functions imposed by conservation laws and should be satisfied by…

Superconductivity · Physics 2017-03-14 Osamu Narikiyo

We study bulk photovoltaic effects in electron-phonon coupled systems. The conservation of current or gauge invariance, manifested as the Ward-Takahashi identity, plays an essential role in the analysis of the Feynman diagrams, and the…

Strongly Correlated Electrons · Physics 2026-01-14 Takahiro Morimoto , Naoto Nagaosa

We propose an approach for investigating the many body effects on phonon spectrum in an electron-phonon coupled system by taking into account the electron self-energy and vertex corrections which respect the Ward identity representing the…

Strongly Correlated Electrons · Physics 2024-09-11 Sudhakar Pandey

We study the discrete and gauge symmetries of Quantum Electrodynamics at finite temperature within the real-time formalism. The gauge invariance of the complete generating functional leads to the finite temperature Ward identities. These…

High Energy Physics - Theory · Physics 2014-11-18 Juan Carlos D'Olivo , Manuel Torres , Eduardo Tututi

In this article we study the electrical conductivity in QED using the resummed 3PI effective action. We work to 3-loop order in the effective action. We show that the resulting expression for the conductivity is explicitly gauge invariant,…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. E. Carrington , E. Kovalchuk

We discuss Ward identities for strongly interacting fermion systems described by Eliashberg-type theories. We show that Ward identities are not in conflict with Migdal theorem. We derive diagrammatically Ward identity for a charge vertex in…

Strongly Correlated Electrons · Physics 2016-08-31 Andrey V. Chubukov

In a covariant gauge we implicitly assume that the Green's function propagates information from one point of the space-time to another, so that the Green's function is responsible for the dynamics of the relativistic particle. In the light…

High Energy Physics - Theory · Physics 2008-08-08 J. H. O. Sales , A. T. Suzuki , J. D. Bolzan

Although noncommutative QED presents a nonabelian structure, it does not present structure constants. In view of this we investigate how Ward identity is satisfied in pair annihilation process and $\gamma \gamma \to \gamma \gamma$…

High Energy Physics - Phenomenology · Physics 2009-11-07 T. Mariz , C. A. de S. Pires , R. F. Ribeiro

At finite temperature a breakdown of the hard thermal loop expansion arises whenever external momenta are light-like or tend to very soft scales. A resummation of ladder graphs is important in these cases where the effects of infrared or…

High Energy Physics - Phenomenology · Physics 2009-10-31 E. Petitgirard

In this article we calculate the electrical conductivity in QED using the 2PI effective action. We use a modified version of the usual 2PI effective action which is defined with respect to self-consistent solutions of the 2-point functions.…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. E. Carrington , E. Kovalchuk

Within the background-field framework we present a path integral derivation of the splitting Ward identity for the one-particle irreducible effective action in the presence of an infrared regulator, and make connection with earlier works on…

High Energy Physics - Theory · Physics 2016-05-04 Mahmoud Safari

Evaluating quantum loop corrections to curvature perturbations in non-attractor inflation presents theoretical ambiguities. A crucial aspect of this challenge lies in the unconstrained finite contributions in renormalization counterterms…

General Relativity and Quantum Cosmology · Physics 2026-05-14 Cheng-Jun Fang , Zong-Kuan Guo

Recently Sahoo and Sen obtained a series of remarkable results concerning sub-leading soft photon and graviton theorems in four dimensions. Even though the S- matrix is infrared divergent, they have shown that the sub-leading soft theorems…

High Energy Physics - Theory · Physics 2020-01-08 Miguel Campiglia , Alok Laddha

We study three properties of a holographic superconductor related to conductivities, where momentum relaxation plays an important role. First, we find that there are constraints between electric, thermoelectric and thermal conductivities.…

High Energy Physics - Theory · Physics 2016-11-03 Keun-Young Kim , Kyung Kiu Kim , Miok Park

We use a Luttinger-Ward functional approach to study the problem of phonon-mediated superconductivity in electron systems with strong electron-electron interactions (EEIs). Our derivation does not rely on an expansion in skeleton diagrams…

Superconductivity · Physics 2020-06-16 Andrea Secchi , Marco Polini , Mikhail I. Katsnelson

We investigate whether state-of-the-art classification features commonly used to distinguish electrons from jet backgrounds in collider experiments are overlooking valuable information. A deep convolutional neural network analysis of…

Data Analysis, Statistics and Probability · Physics 2021-07-07 Julian Collado , Jessica N. Howard , Taylor Faucett , Tony Tong , Pierre Baldi , Daniel Whiteson
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